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Finding the Fourth Proportional to 392,476.26, 588,802.17 and 143,158.26

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Solution

The fourth proportional to 392,476.26, 588,802.17 and 143,158.26 is: 214,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,476.26 : 588,802.17 = 143,158.26 : x
  2. Step 2: Convert to fraction form
    392,476.26/588,802.17 = 143,158.26/x
  3. Step 3: Cross multiply
    392,476.26x = 588,802.17 × 143,158.26
  4. Step 4: Simplify right side
    392,476.26x = 84,291,894,141.42
  5. Step 5: Solve for x
    x = 84,291,894,141.42/392,476.26
  6. Step 6: Final answer
    x = 214,769.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.